Finding the Third Proportional to 382,725 and 547,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,725 : 547,843.50 = 547,843.50 : x
2. Step 2: Convert to fraction form
   382,725/547,843.50 = 547,843.50/x
3. Step 3: Cross multiply
   382,725x = 547,843.50 × 547,843.50
4. Step 4: Simplify right side
   382,725x = 300,132,500,492.25
5. Step 5: Solve for x
   x = 300,132,500,492.25/382,725
6. Step 6: Final answer
   x = 784,198.84